Which expression shows the prime factorization of 180?



22 X 32 X 5


2 X 32 X 52


2 X 3 X 5


22 X 3 X 52

Answers

Answer 1

Answer:

1- 3520

2- 3328

3- 30

4- 3432

Step-by-step explanation:

Answer 2
Answer: Choice A)  2^2*3^2*5

========================================================

Explanation:

To find the prime factorization, we'll start by dividing 180 by the smallest prime number

Divide 180 by 2 to get 180/2 = 90

Divide that by 2 to get 90/2 = 45

Then note how 45/2 = 22.5 isn't a whole number, so that means we move onto the next prime number 3

45/3 = 15

15/3 = 5

The denominators we used, in order, were: 2, 2, 3, 3

This means that 2*2*3*3 is part of the factorization. We can condense that to 2^2*3^2

The last term 5 is the final missing piece of the factor puzzle

Meaning, 2^2*3^2*5 = 180

I recommend you use a calculator to confirm this.


Related Questions

What is the equation of a line .........

Answers

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

What percent of the time will the point be in the shaded region

Answers

Answer:

29.4%

Step-by-step explanation:

the whole cirlce is 360 degrees which means 100%

to find the percentage of the shaded area, multiply the degrees by 100

⇒ 10.6 x 100 = 10600

then take the product and divide by 360

⇒ 1060 ÷ 360

⇒ 29.44

round to the nearet tenth of a percent

⇒ 29.4

which equation best matches the graph shown below ?

Answers

Answer is too right
You know the y intercept is -4 so it’s gotta be on of the top 2. Then I plugged in x=1 and it’s just shy of 6 for the one in the top right which matches the graph.

This month, 25 dogs were brought in to the animal shelter. Leo predicts that next month will have 40% more dogs brought in than this month.
How many more dogs does Leo think will be brought in?
dogs
How many total dogs would that make?
dogs total

Answers

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

ILL GIVE BRAINLIEST :))

Answers

You turn it into a multiplication problem and flip 2/5

1/7 × 5/2

And multiply across

5/14

So 5/14 is your answer

Answer: 5/14

Step-by-step explanation:

Flip the second fraction and multiply across.

1/7 divided by 2/5 = 1/7 times 5/2

Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!

Answers

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

A grocery store surveys 200 random customers to see how frequently they will buy Charlie’s Chocolate Cereal. The results indicate that 30 people will buy the cereal monthly.

Estimate the number of customers that will buy the cereal monthly if 20,000 people shop at the store each month.

Answers

Answer:

this Question

The manager of a home-improvement store is reviewing last year's profit from paint and paint-related accessories. In January, the store earned 5% of its $60,000 profit from paint and paint-related accessories. Based on this information, the manager estimates that the store earned $30, 000 from paint and paint-related accessories last year. A: Is the managers estimate correct? Why or why not? B: Which answer shows the correct estimate for the store's total profit from paint and paint-related accessories last year? Select one answer that is completely correct for question A and select one answer for question B B: $3,000 A: No, the manager incorrectly used the statistic established from his research to estimate the given parameter A: No, the manager incorrectly used the parameter established from his research to estimate the given statistic. A-Yes, the manager correctly used the parameter established from his research to estimate the given statistic. A: Yes, the manager correctly used the statistic established from his research to estimate the given parameter. B: $30,000 B: $15,000 B: $36, 000 A grocery store surveys 200 random customers to see how frequenty they will buy Charlie's Chocolate Cereal. The results indicate that 30 people will by the cereal month Estimate the number of customers that will buy the cereal monthly if 20.000 people shop at the store each m Enter your answer as a number, like this:42 A university conducts a study of tobacco use among 1000 of its students. Researchers survey male volunteers and female volunteers to find the frequency of tobacco use. The study finds that, of the people surveyed, 250 men and 50 women regularly use tobacco. The university concludes that male students use tobacco more frequently than female students. Which of the following situations would create a lurking variable that could impact the study? There may be more than one correct answer. Select all that apply. D if the university surveyed only men who used tobacco at least once in high school, participarnt history would be a lurking variable. nif the university extended the study to include 2000 participants, the number of participants would be a lurking variable. If the university surveyed more men than women, the number of male and female participants would be a lurking variable. If the university surveyed only students aged 18 to 22, the age f participants would be a lurking variable if the university conducted surveys between only 8 a.m, and 2 p.m., the time of day would be a

Please help it’s algebra!!!!!!

Answers

Answer:

a). -6x³ - 12x²    b). -12     c). 12

Step-by-step explanation:

a). (g x f)(x) can also equal f(g(x))

= f (2x +4)

= -3x² (2x+4)

= -6x³ - 12x²

b). f(g(-1))

g(-1) = 2(-1) + 4

= -2 + 4

= 2

f(2) = -3x²

= -3(2)²

= -12

c). g(h(3))

h(3) = 3x-1/2

= 3(3) - 1 / 2

= 4

g(4) = 2x + 4

= 2(4) + 4

= 12

whats the solution to the given system of equations?

-5x+8y=-36
5x+7y=6

Answers

Answer:

x=4, y=-2

Step-by-step explanation:

-5x+8y=-36

5x+7y=6

eqn 1+ eqn 2 gives

15y=-30

divide both sides by 15

y=-2, put in eqn 2

5x+7(-2)=6

5x=20 divide both sides by 5

x=4

Help plssssss!!!!!!!!!!

Answers

Answer:

-4

Step-by-step explanation:

What are the solutions of x2 - 4x+5 = 0?
O A. x= 2+i or x = 2-i
B. X= 2+1 or x = 2- ;
C. x = 3 + i or x = 3 - i
D. x = 14 or x=1

Answers

Answer:

x=2+i, 2-i

Step-by-step explanation:

Use symbolab, it's literally so easy.

Does 1, 2, 5, make a right triangle

Answers

a^2 + b^2 =c^2

1^2 + 2^2 = 1+4 = 5

so no it doesn't make a right triangle

help please. i have no idea how to do this.

Answers

Answer:

ill help u lol im pretty positive its 8

Please help!!
Find the value of x to the nearest tenth.

Answers

Answer:is it 1

Step-by-step explanation:

The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

An average speed of a moving car is 65 km per hour with a standard deviation of 4. What is the probability that the speed is less than 60?
A. -0.1056
B. -1.25
C. 1.25
D. 0.1056​

Answers

D. No se como ayudar yo nomas entro aquí para agarra repuestas

question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.​

Answers

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

25 POINTS!
Select the correct answer from each drop-down menu. Round your answers to the nearest hundredth.
This table shows information from a survey about the type of coffee people prefer and whether they like it hot or cold.

of the people who prefer mocha, the relative frequency of them preferring it cold is 0.32
of the people who prefer hot coffee, the relative frequency of them preferring a latte is 0.22
The type of coffee that has the highest percentage of people who prefer it cold is a. regular b. mocha c. latte
the answer is not cappuccino!

Answers

Answer:

0.32

.22

regular (capuccino is incorrect)

Step-by-step explanation:

in the mocha column 25 people prefer hot and 12 people prefer cold are equal to 37 people.  25+12=37

relative frequency of preferring cold is 12.  12÷37 = .32

In the hot column 11, 25, 19, 30 people are combined for total of 85 people who prefer hot coffee.  11+25+19+30=85

relative frequency of preferring a latte is 19: 19÷85 = .22

combine regular column for 17 ÷ 28 = .61

combine mocha column for 12÷40 = .30

combine latte column for 20÷39 = .51

combine cappucino column for 27÷57 = .47

The type of coffee that has the highest percentage of people who prefer it cold is regular.  (if you combine only the cold column you will end up with cappuccino which is wrong.)

Please help. I’ve been stuck on this for hours

Answers

Answer:

answer is 1

Step-by-step explanation:

I need the answers please don't let me down ​

Answers

Answer:

5 years

Step-by-step explanation:

Hope I helped!

A circle has a diameter with endpoints at (12, 6) and (7, –6). What is the circumference of this circle?

Answers

Answer: (x-19/2)^2+y^2=169/4
Here it is graphed
Sorry if I did this wrong but I tried

A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?

Answers

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7.

Answers

Answer:

11

Step-by-step explanation:

a + 4 when a = 7

First, plug in 7 for a.

7 + 4

Add.

11

This is your answer.

Hope this helps!

7. At the Battle of
outnumbered buffalo hunters defended
themselves for 5 days.
O A. Alpine Hills
B. Austin Falls
O C. Amarillo Flats
D. Adobe Walls

Answers

I think the answer is D good luck hope you get it right.Adobe walls

given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false

A f(x) and g(x) have the same axis of symmetry

B f(x) is wider than g(x)

C f(x) is narrower than g(x)

Answers

it is gonna be c trust me I know for a fact

Step-by-step explanation:

Hi...

You ask any irrelevant Question, that is why they get deleted.

pls help me to solve this​

Answers

Answer:

Step-by-step explanation:

I’m not smart

1,450,000,000,000 is written in which form?
1) scientific notation
2) number form
3) standard form
4) long form​

Answers

That’s in standard form

Answer:

that number is in standard form

Hello can someone please help me with this

Answers

D: an outlier exists on the far right

people in here again and again. I think this is the last question

Answers

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cm

Next let's find the midpoint of BC.

Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cm

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

5 cm - 2.6 cm = 2.4 cm

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

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